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Reduction of Singular Surface Integrals
to Non-Singular Line Integrals
in Integral Equations for
Planar Geometries
Abstract
A novel procedure is presented for the evaluation of matrix elements
of the tensor Green function with Rao-Wilton-Glisson basis functions
appearing in surface integral equations in electromagnetics.
The procedure, at this point applicable to planar geometries,
reduces four-dimensional surface integrals with singular integrands
to line integrals over triangle edges with regular integrands.
The main advantage of the derived expressions is that they
offer simplicity and easily controllable accuracy
achieved at a computational cost significantly lower than
for previously considered techniques, in particular
the conventional singularity subtraction method.